Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970bo |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
Δ |
-7409112651360 = -1 · 25 · 39 · 5 · 73 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6617,-243431] |
[a1,a2,a3,a4,a6] |
Generators |
[379:-7372:1] |
Generators of the group modulo torsion |
j |
-1627624771947/376421920 |
j-invariant |
L |
7.4703854222277 |
L(r)(E,1)/r! |
Ω |
0.26146322845906 |
Real period |
R |
0.31746063474541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95760cn2 11970f1 59850l2 83790ct2 |
Quadratic twists by: -4 -3 5 -7 |